According to one source, the amount of data passing through mobile phone networks doubles each year.

(a) Explain why the amount of data passing through mobile phone networks is an exponential function of time. The amount of data grows by a factor of__ 2 __each year, this is an exponential function because the amount is growing by __constant __multiples.

( b) Use D0 for the initial amount of data, and find a formula that gives the data D as an exponential function of the time t in years.

(c) If this trend continues, how long will it be before the amount of data is 100 times its initial value? (Round your answer to two decimal places.)

Guest Mar 30, 2021

#1**+1 **

D_{t }= D_{o} 2^{(t)}

100 D_{o} = D_{o }2^{t}

100 = 2^{t}

2= t log 2

t = 6.64 years

ElectricPavlov Mar 30, 2021